The complement of angle x is eighteen degrees less than three times the measure of angle x. The supplement angle x is forty-five degrees more than four times the measure of angle x. What is the measure of angle x?

14.

Shelby met her friends at the coffee house and bought three cups of latte and two cups of regular coffee for a total of $17.24. Each cup of latte costs $0.83 more than one cup of regular coffee. How much does one cup of latte cost?

15.

Complete.f(x) = -14x3 - 13x2 + 11x - 14g(x) = -11x3 - 13x2 + 11x + 15

find g(-7) × f(6) + f(11) × g(10)

16.

The sum of a number and a number that is two-thirds of the first number is fifteen. What are the numbers?

There are five consecutive odd integers. The sum of the first two numbers is thirty-five less than the sum of the last three numbers. What are the integers?

25.

Find the distance between P and Q and the coordinates of the midpoint between the two points.

P

(

6

5

,

12

2

)

and

Q

(

10

5

,

18

2

)

26.

Write the fraction in lowest terms.

14b535b3

27.

Factor completely.x2 - 13x + 30

28.

A two-digit number when read from left to right consists of consecutive integers. The number is thirty-four more than two times the sum of its digits. What is the number?

29.

Today, EdHelper Airlines has flown seventy-eight flights, with eighteen more flights to depart. Seventy-one of departed flights arrived on-time. If EdHelper Airlines wants to achieve a eighty-eight percent on-time arrival for the entire day, how many of the rest of the departing planes need to arrive on-time?

30.

Solve.x + 70 = 89

31.

Zachary has a total of thirty-six pennies and nickels. He has fourteen more nickels than pennies. How much money does he have?

32.

Solve the equation by factoring.x2 + 3x - 108 = 0

33.

Solve for d:7.9(11.4 + 3.8d) = -30.02

34.

A total of $3,038 was to be divided in the ratio of 2:7:4:1. How will the money be divided?

35.

The number of CDs that 8 students own are 15, 15, 33, 33, 12, 30, 55, and 15. Which of the following is true?

The mode is equal to the mean.

The mode is 15

The mean is 15

The mean is equal to the median.

The median is 30

36.

In isosceles triangle IHE, mI is twenty-four degrees less than mH. I is one of the congruent angles. What is the measure of each angle in triangle IHE?

37.

The expression -20i15 ÷ -4i3 is equivalent to:

-16i5

5i5

5i18

5i12

17i12

-16i12

38.

What is the length of a diagonal of a rectangle whose dimensions are 5 by 8?

40

89

3

97

6

96

34

39.

Write a compound function for the absolute value function.

f(x)

=

|

-17

x

+

4

|

40.

Add.(14x + 6) + (20x + 9)

41.

A rectangle is three inches long by fourteen inches wide. What is the length of the rectangle's diagonal?